Design: Blocked RCT, with 3 levels, and randomization done at level 1 (individual level).
Models: random treatment effects.
\(\bar{n}\) = 75
\(\bar{n}\) = 50
\(R^2_1 =\) 0.6, 0.6, 0.6
\(R^2_2 =\) 0.6, 0.6, 0.6
\(R^2_3 =\) 0.6, 0.6, 0.6
\(R^2_1 =\) 0, 0, 0 \(R^2_2 =\) 0, 0, 0 \(R^2_3 =\) 0, 0, 0
\(\rho =\) 0.2
\(\rho =\) 0.8
ATE (ES) = 0.125, 0, 0
\(\text{ICC}_2\) = 0.7, 0.7, 0.7
\(\text{ICC}_3\) = 0.7, 0.7, 0.7
\(\text{ICC}_2\) = 0, 0, 0
\(\text{ICC}_2\) = 0.2, 0.2, 0.2
\(\omega_2\) = 0.8, \(\omega_3\) = 0.1
\(\omega_2\) = 0.1, \(\omega_3\) = 0.8
\(\omega_2\) = 0.8, \(\omega_3\) = 0.8
\(\omega_2\) = 0, \(\omega_3\) = 0.1
\(\omega_2\) = 0.1, \(\omega_3\) = 0
\(\omega_2\) = 0, \(\omega_3\) = 0
\(\kappa\) = 0.4
##
##
## +------------+---------------+---------------+-------------+
## | MTP | Adjusted MDES | D1indiv Power | Target MDES |
## +============+===============+===============+=============+
## | rawp | 0.102 | 0.704 | 0.125 |
## +------------+---------------+---------------+-------------+
## | Bonferroni | 0.124 | 0.704 | 0.125 |
## +------------+---------------+---------------+-------------+
## | BH | 0.124 | 0.834 | 0.125 |
## +------------+---------------+---------------+-------------+
## | Holm | 0.126 | 0.808 | 0.125 |
## +------------+---------------+---------------+-------------+
##
## Table: d3.1_m3rr2rr
##
##
## +------+-------------+-------------+---------------+
## | MTP | Sample type | Sample size | D1indiv power |
## +======+=============+=============+===============+
## | BH | J | 30 | 0.834 |
## +------+-------------+-------------+---------------+
## | Holm | J | NA | NA |
## +------+-------------+-------------+---------------+
##
## Table: d3.1_m3rr2rr
##
##
## +------+-------------+-------------+---------------+
## | MTP | Sample type | Sample size | D1indiv power |
## +======+=============+=============+===============+
## | BH | K | 15 | 0.831 |
## +------+-------------+-------------+---------------+
## | Holm | K | 15 | 0.794 |
## +------+-------------+-------------+---------------+
##
## Table: d3.1_m3rr2rr
##
##
## +------+-------------+-------------+---------------+
## | MTP | Sample type | Sample size | D1indiv power |
## +======+=============+=============+===============+
## | BH | nbar | 77 | 0.83 |
## +------+-------------+-------------+---------------+
## | Holm | nbar | NA | NA |
## +------+-------------+-------------+---------------+
##
## Table: d3.1_m3rr2rr